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Find the following probability for the standard normal random variable z.a. P(z> 1,03)b. P(Z< -1.77)c. P(0.58 SZS 2.34)d. P(-1.35 Sz< -0.59)e. P(Z <0)f. P(-2.15 Szs 1.34)a. P(z>1.03) = (Round to three decimal places as needed.)

User Phil Price
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1 Answer

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We need to use a Z-score table for the following

a. P(z> 1,03) = 0.152


P(Z=1.03)=0.8485\rightarrow P(Z>1.03)=1-0.8485=0.1515

b. P(Z< -1.77) = 0.038


P(Z=-1.77)=0.0384\rightarrow P(Z<-1.77)=0.0384

c. P(0.58 < Z < 2.34) = 0.271


\begin{gathered} P(Z=0.58)=0.7190, \\ P(Z=2.34)=0.9904 \\ \rightarrow P(0.58d. P(-1.35 < z < -0.59) = 0.189[tex]\begin{gathered} P(Z=-1.35)=0.0885 \\ P(Z=-0.59)=0.2776, \\ \rightarrow P(-1.35e. P(Z <0) = 0.500[tex]P(Z=0)=0.50\rightarrow P(Z<0)=0.50

f. P(-2.15 < z < 1.34) = 0.894

[tex]\begin{gathered} P(Z=-2.15)=0.0158 \\ P(Z=1.34)=0.9099 \\ P(-2.15

User Ryan Heathcote
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